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Finding the Fourth Proportional to 34,432, 47,508.84 and 20,279.68

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Solution

The fourth proportional to 34,432, 47,508.84 and 20,279.68 is: 27,981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,432 : 47,508.84 = 20,279.68 : x
  2. Step 2: Convert to fraction form
    34,432/47,508.84 = 20,279.68/x
  3. Step 3: Cross multiply
    34,432x = 47,508.84 × 20,279.68
  4. Step 4: Simplify right side
    34,432x = 963,464,072.37
  5. Step 5: Solve for x
    x = 963,464,072.37/34,432
  6. Step 6: Final answer
    x = 27,981.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.